Isospectral integrability analysis of dynamical systems on discrete manifolds

Article

Isospectral integrability analysis of dynamical systems on discrete manifolds

DOI: http://dx.doi.org/10.7494/OpMath.2012.32.1.41

Files

32-1-04.pdf (530.22 KB)

Date

Authors

Blackmore, Denis L.

Prykarpatski, Anatolij

Prikarpats'kìj, Ârema A.

Access rights

Access: otwarty dostęp

Rights: CC BY 4.0

Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

Resource type

Version

wersja wydawnicza

Journal Issue

Opuscula Mathematica

2012 - Vol. 32 - No. 1

Pagination/Pages:

pp. 41-66

Keywords

gradient holonomic algorithm, conservation laws, asymptotic analysis, poissonian structures, lax representation, finite-dimensional reduction, liouville integrability, nonlinear discrete dynamical systems

Abstract

It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability of the discrete nonlinear Schrödinger, Ragnisco-Tu and Riemann-Burgers dynamical systems.

Access rights

Access: otwarty dostęp

Rights: CC BY 4.0

Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

URI

https://repo.agh.edu.pl/handle/AGH/50574

Collections

Artykuły (CN-OpMath)